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Finding the Fourth Proportional to 255,617.40, 383,426.10 and 68,647.80

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Solution

The fourth proportional to 255,617.40, 383,426.10 and 68,647.80 is: 102,971.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,617.40 : 383,426.10 = 68,647.80 : x
  2. Step 2: Convert to fraction form
    255,617.40/383,426.10 = 68,647.80/x
  3. Step 3: Cross multiply
    255,617.40x = 383,426.10 × 68,647.80
  4. Step 4: Simplify right side
    255,617.40x = 26,321,358,227.58
  5. Step 5: Solve for x
    x = 26,321,358,227.58/255,617.40
  6. Step 6: Final answer
    x = 102,971.70

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.